Least Common Multiple (LCM) of 180 and 146
The least common multiple (LCM) of 180 and 146 is 13140.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 180 and 146?
First, calculate the GCD of 180 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 146 = 1 remainder 34 |
| 2 | 146 ÷ 34 = 4 remainder 10 |
| 3 | 34 ÷ 10 = 3 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 141 | 1974 |
| 103 and 167 | 17201 |
| 165 and 171 | 9405 |
| 49 and 193 | 9457 |
| 189 and 113 | 21357 |